Atacama Large Millimeter/submillimeter Array (ALMA) will be the world largest mm/submm interferometer, and currently the Early Science is ongoing together with the commissioning and science verification (CSV) Here we present a study of the temporal phase stability of the entire ALMA system from antennas to the correlator. We verified the temporal phase stability of ALMA using data taken during the last two years of CSV activities. The data consist of integrations on strong point sources (i.e., bright quasars) at various frequency bands, and at various baseline lengths (up to 600 m) From the observations of strong quasars for a long time from a few tens of minutes up to an hour), we derived the 2-point Allan Standard Deviation after the atmospheric phase correction using the 183 GHz Water Vapor Radiometer (WVR) installed in each film antenna and confirmed that the phase stability of all the baselines reached the ALMA specification. Since we applied the WVR phase correction to all the data mentioned above we also studied the effectiveness of the WVR phase correction at various frequencies baseline lengths and weather conditions. The phase stability often improves a factor 2 - 3 after the correction and sometimes a factor of improvement can be obtained However the corrected data still displays an increasing phase fluctuation as a function of baseline length suggesting that the dry component (e.g., N-2 and O-2) the atmosphere also contributes the phase fluctuation in the data although the imperfection of the WVR phase correction cannot be ruled out at this moment.